Subash Chandra Behera

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20242026

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math.GT2026

Minima of geodesic length functions for non-uniform filling systems

Subash Chandra Behera, Shiv Parsad

Kerckhoff proved that the geodesic length function $ℓ_{Ω}$ of a filling $Ω$ on $S_{g}$ attains a unique minimum in Teichmüller space. Recent work of Ernesto Girondo et al. computed…

math.GT2025

Some analogues of isoperimetric inequality

Subash Chandra Behera, Shiv Parsad

The discrete isoperimetric inequality states that among all n -gons with a fixed area, the regular n -gon has the least perimeter. We prove analogues of the discrete isoperimetric…

math.GT2024

Angle Parametrization of Teichmüller space and hyperelliptic surfaces

Subash Chandra Behera, Shiv Parsad

Let $S_{g}$ be a closed orientable surface of genus $g \geq 2$ , and let $T_{g}$ be the Teichmüller space of $S_{g}$ . Let $H_{g}$ denotes the space of all hyperelliptic…